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Finding the Fourth Proportional to 397,039, 547,913.82 and 218,191

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Solution

The fourth proportional to 397,039, 547,913.82 and 218,191 is: 301,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,039 : 547,913.82 = 218,191 : x
  2. Step 2: Convert to fraction form
    397,039/547,913.82 = 218,191/x
  3. Step 3: Cross multiply
    397,039x = 547,913.82 × 218,191
  4. Step 4: Simplify right side
    397,039x = 119,549,864,299.62
  5. Step 5: Solve for x
    x = 119,549,864,299.62/397,039
  6. Step 6: Final answer
    x = 301,103.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.